frac{7(x^{6}y^10)^6}{x^9y^-8}= eching

$$\frac { 7 ( x ^ { 6 } y ^ { 10 } ) ^ { 6 } } { x ^ { 9 } y ^ { - 8 } } =$$

Baholash

$$7x^{27}y^{68}$$

Yechim qadamlari

\left(x^{6}y^{10}\right)^{6} ni kengaytirish.

$$\frac{7\left(x^{6}\right)^{6}\left(y^{10}\right)^{6}}{x^{9}y^{-8}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va 6 ni ko‘paytirib, 36 ni oling.

$$\frac{7x^{36}\left(y^{10}\right)^{6}}{x^{9}y^{-8}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 10 va 6 ni ko‘paytirib, 60 ni oling.

$$\frac{7x^{36}y^{60}}{x^{9}y^{-8}}$$

Surat va maxrajdagi ikkala x^{9} ni qisqartiring.

$$\frac{7x^{27}y^{60}}{y^{-8}}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$7x^{27}y^{68}$$

Kengaytirish

$$7x^{27}y^{68}$$

Yechim qadamlari

\left(x^{6}y^{10}\right)^{6} ni kengaytirish.

$$\frac{7\left(x^{6}\right)^{6}\left(y^{10}\right)^{6}}{x^{9}y^{-8}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va 6 ni ko‘paytirib, 36 ni oling.

$$\frac{7x^{36}\left(y^{10}\right)^{6}}{x^{9}y^{-8}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 10 va 6 ni ko‘paytirib, 60 ni oling.

$$\frac{7x^{36}y^{60}}{x^{9}y^{-8}}$$

Surat va maxrajdagi ikkala x^{9} ni qisqartiring.

$$\frac{7x^{27}y^{60}}{y^{-8}}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$7x^{27}y^{68}$$